Dumplings:,Preheat oven to 400°F.,______,On lightly floured surface, roll the pastry into a 16" sqaure.,Cut with a knife into 4 equal pieces.,Peel and core cpples.,Trim the bottoms so the apples sit flat.,Place 1 apple in the center of each square.,Use 1/4 teaspoon of lemon juice if apples start to trun brown.,Mix together the brown sugar or brown-sugar splenda, butter or margarine and cinnamon.,Spoon into apples.,Beat the egg and water together in a small bowl.,Moisten the edge of the pastry with the mixture.,Bring the pastry up around the apple, pleating the pastry as needed to form a seal.,Place the dumplings in an ungreased 9x13 inch baking dish.,Brush them with remaining egg mixture, sprinkle with granulated sugar or splenda.,Bake for 35 minutes until golden brown.,When ready to serve; heat the caramel sauce and the toasted pecans.,Place a warm dumpling on a serving plate and drizzle the sauce over the top.,Garnish with cool-whip or vanilla ice cream, if desired.